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Finding the Fourth Proportional to 180,456.99, 270,684.27 and 141,047.25

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Solution

The fourth proportional to 180,456.99, 270,684.27 and 141,047.25 is: 211,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456.99 : 270,684.27 = 141,047.25 : x
  2. Step 2: Convert to fraction form
    180,456.99/270,684.27 = 141,047.25/x
  3. Step 3: Cross multiply
    180,456.99x = 270,684.27 × 141,047.25
  4. Step 4: Simplify right side
    180,456.99x = 38,179,271,901.76
  5. Step 5: Solve for x
    x = 38,179,271,901.76/180,456.99
  6. Step 6: Final answer
    x = 211,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.